Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.)
(6, 2, 96); (5, 6, 240)
Option 1: (4, 1, 6)
Option 2: (12, 3, 45)
Option 3: (1, 2, 16)
Option 4: (8, 3, 28)
Correct Answer: (1, 2, 16)
Solution :
Given:
(6, 2, 96); (5, 6, 240)
Like, (6, 2, 96)→(6 × 2) × 8 = 96
(5, 6, 240)→(5 × 6) × 8 = 240
Let's check the options –
First option:
(4, 1, 6)→(4 × 1) × 8 = 32 ≠ 6
Second option:
(12, 6, 45)→(12 × 6) × 8 = 576 ≠ 45
Third option:
(1, 2, 16)→(1 × 2) × 8 = 16
Fourth option:
(8, 3, 28)→(8 × 3) × 8 = 192 ≠28
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.